Special Theory of Relativity with Invariant Length and Time Intervals

Abstract

In an earlier article, we proposed a new Position Space Doubly Special Relativity Theory that makes use of quantum fluctuations to achieve an invariant scale-length. The invariant scale-length is fixed to a special characteristic length, ℓp. Herein, we make improvements to this theory by suggesting a new set of Lorentz transformations that allow any two observers to agree on the numerical value of any length and time interval. These new set of transformations leave the philosophy and the phenomenology of the Special Relativity Theory intact.